3950465200 has 120 divisors (see below), whose sum is σ = 10450067760. Its totient is φ = 1423180800.

The previous prime is 3950465147. The next prime is 3950465209. The reversal of 3950465200 is 25640593.

It is a super-2 number, since 2×3950465200² = 31212350592822080000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3950465209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 475482 + ... + 483718.

It is an arithmetic number, because the mean of its divisors is an integer number (87083898).

Almost surely, 2^3950465200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3950465200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5225033880).

3950465200 is an abundant number, since it is smaller than the sum of its proper divisors (6499602560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3950465200 is a wasteful number, since it uses less digits than its factorization.

3950465200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8375 (or 8364 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 34.

The square root of 3950465200 is about 62852.7262734084. The cubic root of 3950465200 is about 1580.8211829125.

The spelling of 3950465200 in words is "three billion, nine hundred fifty million, four hundred sixty-five thousand, two hundred".